Block Design of Robust Control Systems by Direct Lyapunov Method

Pshikhopov, Viacheslav; Medvedev, Mikhail

doi:10.3182/20110828-6-it-1002.00006

Cited by 17 publications

(5 citation statements)

References 2 publications

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“…We will enter a macro variable, reflecting an evaluation error, where is an estimation of revolting disturbance: . (9) In accordance with [8,9] we will enter equalization equation (10), where is an arbitrary function, which will be determined in the process of observer synthesis, is a new variable:…”

Section: Synthesis Of Observermentioning

confidence: 99%

“…Thus, with an account of equation 10, it is possible to write equation (9) down as: . (11) A derivative from the error of evaluation (11) is equal:…”

Section: Synthesis Of Observermentioning

confidence: 99%

“…14If we choose the function so, that equalization (14) did not depend on not measureable disturbance of , then expression (14) will be an asymptotic observer. Thus the estimation of not measured disturbance will be determined in accordance with equation (10). So, right part of equation 14did not depend on not measureable disturbance , and we will equate all elements containing this parameter to the zero.…”

Section: Synthesis Of Observermentioning

confidence: 99%

“…(18) We will express a new variable from equation 18: . (19) Using equation (10) and 17, we can define equalization of observer: . (20) Equalizations (17) and (18) are observer equalizations for disturbance, operating on a "q" axis current.…”

Section: Synthesis Of Observermentioning

confidence: 99%

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The system of nonlinear adaptive control for wind turbine with DFIG

Medvedev¹,

Mazalov²

2014

EAI Endorsed Transactions on Energy Web

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This paper presents a problem solution of the stable voltage generating in the changing terms of environment for the double-fed induction generator (DFIG). For this, in nonlinear multivariable systems, such as mathematical model of DFIG, the method of observer's synthesis for external, parametric and structural disturbances was used. This allows, on the basis of disturbances approximation, to carry out an evaluation under conditions of uncertainty, leading to disturbances adaptation with a priori unknown structure. The work presents a synthesis method of control system, allowing to solve indicated problem. Stand-alone wind turbine used as a power plant with DFIG. The control system uses the original nonlinear mathematical model of the DFIG in rotating "dq" coordinates, taking into account non-linear changes in the parameters. To confirm the effectiveness of the problem solution, mathematical computer model was developed. The paper also presents the results of full-scale simulation.

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Section: Synthesis Of Observermentioning

confidence: 99%

“…Thus, with an account of equation 10, it is possible to write equation (9) down as: . (11) A derivative from the error of evaluation (11) is equal:…”

Section: Synthesis Of Observermentioning

confidence: 99%

Section: Synthesis Of Observermentioning

confidence: 99%

Section: Synthesis Of Observermentioning

confidence: 99%

See 2 more Smart Citations

The system of nonlinear adaptive control for wind turbine with DFIG

Medvedev¹,

Mazalov²

2014

EAI Endorsed Transactions on Energy Web

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“…Regulator should base on laws of position-path control, developed by V. Pshikhopov [2][3][4][5] but with regard to peculiarities of controlled object [6]. As it was shown in [6], mathematical model of UV in matrix form is:…”

Section: Research Of Movement Algorithmmentioning

confidence: 99%

Research of Algorithms for Approaching and Docking Underwater Vehicle with Underwater Station

Pshikhopov

Gurenko

Beresnev

2015

MATEC Web of Conferences

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Abstract. Authors consider problem of maintenance and service of underwater vehicles. Usually, underwater station or accompanying ship is required for such operations. Docking is one of the most difficult tasks on the vehicle path from the outer space to the servicing bay. Algorithms allowing docking were presented in the earlier paper, and in this paper authors prove their stability. Movement control is based upon the path regulator. The stability of the closedloop system according to Liapunov with the given control and limitations is proven. Equations, showing that vehicle will complete the positioning task with account to given limitations and staying stable are given. The criterion for switching movement and "positioning to point" algorithms is proposed. Achievement of the developed criterion was researched theoretically and in computer simulation. Experiments provide deviation of actual coordinates and velocity from the required ones and proved that achieving of criterion is enough to claim that system will be stable while performing algorithms with limitations for controls.

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